INSTABILITY INTERVALS FOR HILL'S EQUATION WITH SYMMETRIC SINGLE-WELL POTENTIAL

Coskun, H.; Baskaya, ELİF; Kabatas, AYŞE

doi:10.1007/s11253-019-01692-x

INSTABILITY INTERVALS FOR HILL'S EQUATION WITH SYMMETRIC SINGLE-WELL POTENTIAL

Coskun H., Baskaya E., Kabatas A.

UKRAINIAN MATHEMATICAL JOURNAL, cilt.71, sa.6, ss.977-983, 2019 (SCI-Expanded, Scopus)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 71 Sayı: 6
Basım Tarihi: 2019
Doi Numarası: 10.1007/s11253-019-01692-x
Dergi Adı: UKRAINIAN MATHEMATICAL JOURNAL
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
Sayfa Sayıları: ss.977-983
Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
Karadeniz Teknik Üniversitesi Adresli: Evet

Özet

With the help of an auxiliary eigenvalue problem, we deduce some explicit estimates for the periodic and semiperiodic eigenvalues and the lengths of instability intervals for Hill's equation with symmetric single-well potentials. We also establish bounds for the gaps in the sets of Dirichlet and Neumann eigenvalues.